Question

Using a ruler and a protractor, choose a scale and draw arrows representing a vector 10 feet due east and a vector 12 feet 30 degrees west of north. Add the two vectors graphically with an accuracy of a tenth of a foot.

Answer 1

Here, A = 10 ft

and, B = 12 ft

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let the resultant vector be R.

Then, R_x = A - B sin(30) = (10 feet) - (12 feet) sin(30) = 4 feet

And, R_y = B cos(30) = (12 feet) cos(30) = 10.39 feet

.

Therefore, The magnitude of the resultant vector will be :

And, the direction of the resultant vector :